Some binary representations of real numbers and odd solutions of the functional equation ...f = g... . (Short Communication).
Seymour Z. Ditor (1978)
Aequationes mathematicae
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Some binary representations of real numbers and odd solutions of the functional equation ...f = g... . (Short Communication).
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We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...